自反Banach空间一类完全广义集值强非线性混合似变分不等式问题  

The Question of a Class of Completely Generalized Set-valued Strongly Nonlinear Mixed Variational-Like Inequalities in Banach Space

作　　者：李蒙[1] 孙秋媚[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《军械工程学院学报》2010年第5期76-78,共3页Journal of Ordnance Engineering College

摘　　要：研究了一类完全广义集值强非线性混合似变分不等式在自反Banach空间下的问题，借助一个极大极小不等式，证明了这类完全广义集值强非线性混合似变分不等式的解的存在唯一性定理。In this paper, a class of the completely generalized set-valued strongly nonlinear mixed variational-like inequalities in reflexive Banach space is studied. By applying a minimax inequalitity,an esxitence uniqueness theorem of solutions for the completely generalized set-valued strongly nonlinear mixed variational-like inequalities is proved.

关 键 词：存在性 极大极小不等式 集值映象 自反BANACH空间 

分 类 号：O177.91[理学—数学]